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JEE Mains · Physics · STD 12 - Electromagnetic waves
  • JEE Mains 2018
  • Medium
  • MCQ

A plane electromagnetic wave of wavelength \(\lambda \) has an intensity \(I.\)  It is propagating along the positive \(Y-\)  direction. The allowed expressions for the electric and magnetic fields are given by

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Answer & Solution

Correct Answer

(C) \(\vec E\, = \,\sqrt {\frac{{2I}}{{{\varepsilon _0}C}}} \cos \left[ {\frac{{2\pi }}{\lambda }(y - ct)} \right]\,\hat k\,;\,\vec B\, =  + \frac{1}{c}E\hat i\)

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Detailed explanation

If \(E_0\)  is magnitude of electric field then  \(\frac{1}{2}\,{\varepsilon _0}{E_0}^2\, \times \,C\, = \,I\, \Rightarrow {\kern 1pt} {E_0}\, = \sqrt {\frac{{2I}}{{C{\varepsilon _0}}}} \)

\({B_0} = {\kern 1pt} \frac{{{E_0}}}{C}\,\)  

Direction of \(\vec E \times \vec B\) will be along  \( + \hat j.\)

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